A Möbius strip is a nonorientable, two-dimensional surface with only one side. The one-sided nature of the Möbius strip is an example of an emergent property—a property that is found in a system as a whole, but not in any part of the system. In this activity, a thin strip of paper is twisted 180 degrees and taped end-to-end to form a strip that surprisingly has only one continuous surface (rather than two sides). The strip’s length is double that of one side of the original strip. It serves as discrepant paper-and-pencil puzzle entry into scientific inquiry (“what will happen if…”). In this chapter, this topological puzzle serves as a visual participatory analogy to challenge teachers to reconsider the connection among their curricular, instructional, and assessment plans, as well as implementation efforts and impact on learners.